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Finding the Fourth Proportional to 141,842.10, 212,763.15 and 133,094.10

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Solution

The fourth proportional to 141,842.10, 212,763.15 and 133,094.10 is: 199,641.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,842.10 : 212,763.15 = 133,094.10 : x
  2. Step 2: Convert to fraction form
    141,842.10/212,763.15 = 133,094.10/x
  3. Step 3: Cross multiply
    141,842.10x = 212,763.15 × 133,094.10
  4. Step 4: Simplify right side
    141,842.10x = 28,317,519,962.42
  5. Step 5: Solve for x
    x = 28,317,519,962.42/141,842.10
  6. Step 6: Final answer
    x = 199,641.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.